A current of $6A$ enters one corner $P$ of an equilateral triangle $PQR$ having three wires of resistance $2 \Omega$ each and leaves by the corner $R$ as shown in figure. Then the currents $I_1$ and $I_2$ are respectively

The value of shunt resistance that allows only 10% of the main current through the galvanometer of resistance $ 99 \Omega $ is:

A block of mass 5 kg is placed on a rough horizontal surface with a coefficient of friction 0.5. If a horizontal force of 60 N is acting on it, then the acceleration of the block is (Acceleration due to gravity $ g = 10 $ ms$^{-2}$):

Find out the angle of refraction in a medium of refractive index $\sqrt{3}$, when the angle of incidence is $60^\circ$.

Represent the variation of binding energy per nucleon with mass number. On the basis of it, explain the following: (i) Nuclear fission
(ii) Nuclear fusion
(iii) Nuclear energy

If the speed of sound in air at 0°C is 331 m/s, the speed of sound in air at 35°C is:

Obtain the formula of the relationship of drift velocity and potential difference.

In the diodes shown in the diagrams, which one is reverse biased?

A straight wire of length 20 cm carrying a current of $\frac{3}{\pi ^2} \, \text{A} $ is bent in the form of a circle. The magnetic field at the centre of the circle is.

Given that the surface charge density on a sphere is 200 μC/m², what is the electric field at the surface of the sphere?

In hydrogen atom, what is the ionization potential of the electron in the ground state?

A box of mass 20 𝑘𝑔 is pulled at constant speed across a floor by a rope. The rope makes an angle of 45° with the horizontal. Assuming that friction is negligible, the work done in pulling the box by a distance of 20 𝑚 is _____ 𝐽 (rounded off to the nearest integer). (Use $𝑔 = 9.8 𝑚𝑠^{−2}$)

A ball at point ‘O’ is at a horizontal distance of 7 m from a wall. On the wall, a target is set at point ‘C’. If the ball is thrown from ‘O’ at an angle $ 37^\circ $ with horizontal aiming the target ‘C’. But it hits the wall at point ‘D’ which is a vertical distance $ y_0 $ below ‘C’. If the initial velocity of the ball is 15 m/s, find $ y_0 $. (Given $ \cos 37^\circ = \frac{4}{5} $)

Young double slit arrangement is placed in a liquid medium of 1.2 refractive index. Distance between the slits and screen is 2.4 m.
Slit separation is 1 mm. The wavelength of incident light is 5893 Å. The fringe width is: